{"id":9200,"date":"2024-03-27T06:36:19","date_gmt":"2024-03-27T06:36:19","guid":{"rendered":"http:\/\/philosophers.org\/ckf\/?p=9200"},"modified":"2024-03-27T06:36:24","modified_gmt":"2024-03-27T06:36:24","slug":"the-universe-in-zero-words-the-story-of-mathematics-as-told-through-equations","status":"publish","type":"post","link":"http:\/\/philosophers.org\/ckf\/2024\/03\/27\/the-universe-in-zero-words-the-story-of-mathematics-as-told-through-equations\/","title":{"rendered":"The Universe in Zero Words: The Story of Mathematics as Told through Equations"},"content":{"rendered":"\n

The Universe in Zero Words: The Story of Mathematics as Told through Equations<\/a><\/em> <\/a>\u9019\u662f\u4e00\u672c\u95dc\u65bc\u6578\u5b78\u53f2\u7684\u66f8\u3002 \u5728\u9019\u672c\u66f8\u4e2d\uff0c\u6578\u5b78\u5bb6 Dana Mackenzie \u5feb\u901f\u700f\u89bd\u4e86\u5f9e\u53e4\u4ee3\u5230\u73fe\u4ee3\u7684\u6578\u5b78\u53f2\uff0c\u4e26\u9644\u6709\u95dc\u65bc 24 \u500b\u65b9\u7a0b\u5f0f\u7684\u7c21\u77ed\u7247\u6bb5\u3002\u9019\u662f\u4e00\u500b\u5f88\u597d\u7684\u6a19\u984c\uff0c\u4f46\u5118\u7ba1\u6bcf\u4e00\u7ae0\u90fd\u4ee5\u65b9\u7a0b\u5f0f\u958b\u982d\uff0c\u4f46\u9019\u5be6\u969b\u4e0a\u662f\u4e00\u4e9b\u6b77\u53f2\u6578\u5b78\u8efc\u4e8b\u7684\u85c9\u53e3\u3002 \u4e5f\u5c31\u662f\u8aaa\uff0c\u5b83\u5beb\u5f97\u975e\u5e38\u51fa\u8272\uff0c\u9019\u4f4d\u591a\u5e74\u4f86\u6559\u6388\u6578\u5b78\u6b77\u53f2\u7684\u8a55\u8ad6\u5bb6\u5f88\u559c\u6b61\u9019\u672c\u66f8\uff0c\u4e26\u4e86\u89e3\u4e86\u4e00\u4e9b\u4e0d\u719f\u6089\u7684\u7d30\u7bc0\u3002 \u4f5c\u8005\u64c1\u6709\u5411\u90a3\u4e9b\u4e0d\u61c2\u6578\u5b78\u7684\u4eba\u5c55\u793a\u6280\u8853\u6750\u6599\u7684\u51fa\u8272\u6280\u5de7\u3002 \u5c0d\u65bc\u6578\u5b78\u754c\u7684\u4eba\u4f86\u8aaa\uff0c\u770b\u5230\u9019\u4ef6\u4e8b\u505a\u5f97\u5f88\u597d\u7e3d\u662f\u4ee4\u4eba\u9ad8\u8208\u7684\u3002<\/p>\n\n\n\n

\u9019\u672c\u66f8\u7684\u7248\u9762\u5f88\u6709\u8da3\uff1b \u5b83\u5206\u70ba\u56db\u500b\u90e8\u5206\uff0c\u6bcf\u500b\u90e8\u5206\u5305\u542b\u7368\u7acb\u7684\u7ae0\u7bc0\uff0c\u7e3d\u5171 24 \u7ae0\u3002 \u7b2c\u4e00\u90e8\u5206 (equations of antiquity)\u9069\u5408\u6240\u6709\u4eba\uff0c\u56e0\u70ba\u5b83\u4ee5\u53e4\u4ee3\u6578\u5b78\u6750\u6599\u3001\u6578\u5b57\u3001\u7562\u9054\u54e5\u62c9\u65af\u5b9a\u7406 Pythagoras\u2019s Theorem \u548c\u7c21\u55ae\u5e7e\u4f55\u70ba\u4e2d\u5fc3\u3002 \u7b2c\u4e8c\u90e8\u5206 (equations in the age of exploration) \u5f9e\u6c42\u89e3\u4e09\u6b21\u65b9\u7a0b\u5f0f\u5230\u5fae\u7a4d\u5206\u548c\u6b50\u62c9 Euler \u6578\u8ad6\u7684\u61c9\u7528\u3002 \u6211\u5011\u52c7\u6562\u5730\u5617\u8a66\u9032\u884c\u8a73\u7d30\u7684\u89e3\u91cb\uff0c\u4f46\u9019\u88e1\u7684\u8b80\u8005\u7fa4\u5c07\u6703\u9010\u6f38\u6e1b\u5c11\uff0c\u5c31\u50cf\u81ea\u884c\u8eca\u624b\u812b\u96e2\u4e3b\u8eca\u7fa4\u4e00\u6a23\u3002 \u7b2c 3 \u90e8\u5206 (equations in a promethean age) \u8a0e\u8ad6\u66f4\u9ad8\u7d1a\u7684\u5167\u5bb9\uff1b \u6211\u5011\u6709 Carl Friedrich Gauss \u3001William Rowan Hamilton \u548c \u00c9variste Galois \u7684\u4e00\u4e9b\u8457\u4f5c\u3002 \u5947\u602a\u7684\u5e7e\u4f55\u3001\u4ee3\u6578\u65b9\u7a0b\u5f0f\u7684\u89e3\u3001\u8cbb\u99ac\u5927\u5b9a\u7406\u548c\u5149\u8b5c\u5206\u6790\u90fd\u5728\u9019\u88e1\u3002 \u9019\u5145\u6eff\u4e86\u56f0\u96e3\u7684\u6982\u5ff5\uff0c\u4f46\u5728\u6211\u770b\u4f86\uff0c\u985e\u6bd4\u548c\u63cf\u8ff0\u662f\u6210\u529f\u7684\u3002 \u6700\u5f8c\uff0c\u4f5c\u8005\u7aed\u76e1\u5168\u529b\u8a66\u5716\u89e3\u6c7a\u76f8\u5c0d\u8ad6\u3001\u91cf\u5b50\u529b\u5b78\u3001Cantor \u3001G\u00f6del\u3001\u6578\u5b78\u7684\u4e0d\u5b8c\u6574\u6027\u3001\u6df7\u6c8c\u548c\u91d1\u878d\u884d\u751f\u6027\u5546\u54c1\u7b49\u554f\u984c\u3002 \u53ef\u4ee5\u7406\u89e3\u7684\u662f\uff0c\u9019\u4e0d\u592a\u6210\u529f\uff0c\u800c\u4e14\u6211\u8a8d\u70ba\u53ea\u6709\u4ee5\u524d\u6293\u4f4f\u7684\u4eba\u624d\u80fd\u8b80\u5b8c\u6240\u6709\u9019\u4e9b\u6750\u6599\u3002 \u7e3d\u4e4b\uff0c\u672c\u66f8\u4ee5\u975e\u5e38\u901a\u4fd7\u6613\u61c2\u7684\u98a8\u683c\uff0c\u5c0d\u6578\u5b78\u53f2\u4e0a\u7684\u4eae\u9ede\u9032\u884c\u4e86\u4ee4\u4eba\u8033\u76ee\u4e00\u65b0\u7684\u5be9\u8996\uff0c\u4e26\u5c0d\u6587\u737b\u9032\u884c\u4e86\u6b61\u8fce\u7684\u88dc\u5145\u3002<\/p>\n\n\n\n

xxxxxxxxxx<\/p>\n\n\n\n

\u300a\u6642\u9593\u7c21\u53f2<\/a>\u300b\u7684\u7de8\u8f2f\u544a\u8a34 Stephen Hawking\uff0c\u6bcf\u500b\u65b9\u7a0b\u90fd\u6703\u4f7f\u4e00\u672c\u66f8\u7684\u8b80\u8005\u4eba\u6578\u6e1b\u5c11\u4e00\u534a\uff0c\u56e0\u6b64\u9019\u4f4d\u82f1\u570b\u7269\u7406\u5b78\u5bb6\u53ea\u5217\u51fa\u4e86\u4e00\u500b\u65b9\u7a0b\uff0c\u9019\u500b\u65b9\u7a0b\u5982\u6b64\u8457\u540d\u548c\u719f\u6089\uff0c\u4e0d\u592a\u53ef\u80fd\u5687\u8dd1\u4efb\u4f55\u4eba\u3002 The Universe in Zero Words: The Story of Mathematics as Told through Equations<\/em> \u4e0d\u50c5\u6709\u611b\u56e0\u65af\u5766\u7684 E=mc2\uff0c\u9084\u6709\u53e6\u5916\u4e8c\u5341\u4e09\u500b\u65b9\u7a0b\uff0c\u9019\u9084\u4e0d\u5305\u62ec\u5728 Dana Mackenzie \u7684\u6545\u4e8b\u4e2d\u8d77\u914d\u89d2\u7684\u5176\u4ed6\u6578\u5b78\u8868\u9054\u5f0f\u3002 \u5982\u679c Hawking \u7684\u7de8\u8f2f\u662f\u5c0d\u7684\uff0c\u90a3\u9ebc\u5728\u5b8c\u6210\u6240\u6709\u9019\u4e9b\u6578\u5b78\u8a08\u7b97\u5f8c\uff0c\u8b80\u8005\u5c07\u6240\u5269\u7121\u5e7e\u3002 \u9019\u5c07\u662f\u4e00\u7a2e\u6065\u8fb1\uff0c\u56e0\u70ba\u9019\u672c\u7f8e\u9e97\u7684\u66f8\u4e0d\u50c5\u50c5\u662f\u4e00\u5806\u65b9\u7a0b\u5f0f\u3002<\/p>\n\n\n\n

\u6b63\u5982\u4ed6\u5728\u66f8\u7684\u5e8f\u8a00\u4e2d\u6240\u8aaa\uff0cMackenzie \u7684\u76ee\u7684\u662f \u201c\u63ed\u958b\u570d\u7e5e\u6578\u5b78\u548c\u65b9\u7a0b\u5f0f\u7684\u795e\u79d8\u548c\u79d8\u5bc6\u7684\u9762\u7d17\u201d\uff0c\u4ee5\u4fbf\u4ed6\u7684\u8b80\u8005 \u201c\u80fd\u5920\u770b\u5230\u96b1\u85cf\u5728\u4e0b\u9762\u7684\u6771\u897f\u201d\u3002\u9019\u672c\u66f8\u7576\u7136\u6709\u9019\u4e9b\u5167\u5bb9\uff0c\u5728\u7c21\u77ed\u7684\u7ae0\u7bc0\u4e2d\u9032\u884c\u4e86\u8f15\u9b06\u800c\u6e05\u6670\u7684\u8a0e\u8ad6\uff08\u5176\u4e2d\u4e00\u7ae0\u53ea\u6709\u56db\u9801\u9577\uff09\u3002\u9019\u672c\u7f8e\u89c0\u7684\u66f8\u7531\u7c21\u77ed\u6d3b\u6f51\u7684\u5c0f\u63d2\u66f2\u7d44\u6210\uff0c\u90e8\u5206\u662f\u50b3\u8a18\uff0c\u90e8\u5206\u662f\u6b77\u53f2\uff0c\u90e8\u5206\u662f\u6578\u5b78\uff0c\u4e26\u5927\u91cf\u9ede\u7db4\u8457\u6642\u4ee3\u85dd\u8853\u548c\u7248\u756b\u3001\u53e4\u4ee3\u624b\u7a3f\u3001\u5f69\u8272\u7167\u7247\u3001\u5730\u5716\u548c\u5716\u8868\u3002 \u5c31\u9023\u9632\u5875\u5957\u7684\u8a2d\u8a08\u4e5f\u8003\u616e\u5230\u4e86\u6578\u5b78\u7f8e\u611f\uff1a\u4ed4\u7d30\u89c0\u5bdf\u661f\u661f\uff0c\u5c31\u6703\u767c\u73fe\u5b83\u5011\u662f\u758a\u52a0\u5728\u591c\u7a7a\u4e2d\u7684\u6578\u5b78\u65b9\u7a0b\u5f0f\uff01<\/p>\n\n\n\n

\u70ba\u4e86\u5beb\u9019\u672c\u66f8\uff0cMackenzie \u6574\u7406\u4e86\u5e7e\u500b\u4e16\u7d00\u4ee5\u4f86\u7684\u4ee3\u6578\u3001\u5e7e\u4f55\u3001\u61c9\u7528\u6578\u5b78\u548c\u5206\u6790\uff0c\u627e\u51fa\u4e86 24 \u500b\u6eff\u8db3\u9019\u4e9b\u6a19\u6e96\u7684\u6578\u5b78\u5b9a\u7406\u6216\u7269\u7406\u5b9a\u5f8b\uff1a<\/p>\n\n\n\n

*\u4ee4\u4eba\u9a5a\u8a1d\u7684\u662f<\/p>\n\n\n\n

*\u5b83\u5f88\u7c21\u6f54<\/p>\n\n\n\n

*\u9019\u662f\u5fc5\u7136\u7684<\/p>\n\n\n\n

*\u9019\u662f\u666e\u904d\u7684<\/p>\n\n\n\n

\u5728\u64b0\u5beb\u9019 24 \u500b\u7279\u6b8a\u6578\u5b78\u65b9\u7a0b\u5f0f\u6642\uff0cMackenzie \u5f9e\u53e4\u5e0c\u81d8\u4eba\u767c\u73fe\u7684\u7c21\u55ae\u5be6\u7528\u65b9\u7a0b\u5f0f\u958b\u59cb \uff0c\u7136\u5f8c\u8f49\u5411\u73fe\u4ee3\u767c\u73fe\u7684\u66f4\u8907\u96dc\u7684\u65b9\u7a0b\u5f0f\u3002 \u96a8\u8457\u65b9\u7a0b\u5f0f\u7684\u6578\u5b78\u8907\u96dc\u6027\u4e0d\u65b7\u589e\u52a0\uff0c\u6211\u5011\u958b\u59cb\u6b23\u8cde\u5b83\u5011\u7684\u529b\u91cf\uff0c\u662f\u7684\uff0c\u6b23\u8cde\u5b83\u5011\u6df1\u523b\u7684\u7f8e\u3002 \u5118\u7ba1\u6211\u5011\u53ef\u80fd\u7121\u6cd5\u7406\u89e3\u9019\u4e9b\u65b9\u7a0b\u5f0f\u7684\u6240\u6709\u5fae\u5999\u5dee\u5225\uff0c\u4f46\u6211\u5011\u8a8d\u8b58\u5230\u70ba\u4ec0\u9ebc\u5b83\u5011\u5728\u667a\u529b\u4e0a\u5c0d\u6578\u5b78\u5bb6\u4f86\u8aaa\u5982\u6b64\u4ee4\u4eba\u8208\u596e\u3002 \u6211\u5011\u4e5f\u770b\u5230\u9019\u4e9b\u65b9\u7a0b\u5f0f\u5982\u4f55\u7528\u65bc\u9810\u6e2c\u548c\u89e3\u91cb\u81ea\u7136\u73fe\u50cf\u4ee5\u53ca\u5982\u4f55\u88ab\u6feb\u7528\u4f86\u5f71\u97ff\u7d93\u6fdf\u767c\u5c55\u548c\u98a8\u96aa\u7ba1\u7406\u3002\u4f46 Mackenzie \u4e0d\u50c5\u5411\u6211\u5011\u5c55\u793a\u4e86\u9019\u4e9b\u65b9\u7a0b\uff0c\u9084\u8a0e\u8ad6\u4e86\u5c0d\u6578\u5b78\u7406\u8ad6\u505a\u51fa\u8ca2\u737b\u7684\u4eba\u5011\u7684\u751f\u6d3b\u3001\u4ed6\u5011\u6240\u8655\u7684\u6642\u4ee3\uff0c\u4ee5\u53ca\u4ed6\u5011\u7684\u8ca2\u737b\u5982\u4f55\u6539\u8b8a\u4e86\u6211\u5011\u5c0d\u6578\u5b78\u548c\u5b87\u5b99\u7684\u601d\u8003\u65b9\u5f0f\u3002<\/p>\n\n\n\n

Mackenzie \u5f9e\u770b\u4f3c\u7c21\u55ae\u7684 1+1=2 \u958b\u59cb\uff0c\u7528\u9019\u500b\u65b9\u7a0b\u5f0f\u8a0e\u8ad6\u4e86\u73fe\u4ee3\u6578\u5b78\u7684\u57fa\u790e\uff0c\u4ee5\u53ca\u4e00\u52a0\u4e00\u5728\u67d0\u500b\u5730\u65b9\u53ef\u80fd\u7b49\u65bc\u4e09\u7684\u53ef\u80fd\u6027\u3002 \u7136\u5f8c\u6211\u5011\u4e86\u89e3\u5230\uff0cPythagoras \u5be6\u969b\u4e0a\u4e26\u4e0d\u662f\u7b2c\u4e00\u500b\u767c\u73fe\u4ed6\u7684\u540c\u540d\u5b9a\u7406\u7684\u4eba\uff0c\u53ef\u80fd\u662f\u5f9e\u5df4\u6bd4\u502b\u4eba\u90a3\u88e1\u5b78\u5230\u7684\u3002 Mackenzie \u63d0\u9192\u6211\u5011\uff0c\u300a\u7da0\u91ce\u4ed9\u8e64 Wizard of Oz\u300b\u4e2d\u7684\u7a3b\u8349\u4eba\u5ba3\u63da\u9019\u500b\u5b9a\u7406\uff08\u5118\u7ba1\u662f\u932f\u7684\uff09\u662f\u70ba\u4e86\u5c55\u793a\u4ed6\u65b0\u7372\u5f97\u7684\u5927\u8166\u3002 \u5982\u679c\u7a3b\u8349\u4eba\u8b80\u904e Mackenzie \u7684\u8457\u4f5c\u4e26\u8a0e\u8ad6\u904e\u56db\u5143\u6578 quaternions<\/a> \u548c Chern-Gauss-Bonnet \u65b9\u7a0b<\/a>\uff0c\u4ed6\u7684\u5370\u8c61\u6703\u66f4\u6df1\u523b\u3002 \u6839\u64da  Wired<\/a> \u5831\u9053\uff0c\u53ea\u6709\u90a3\u4e9b\u6df1\u8af3\u91d1\u878d\u5967\u79d8\u7684\u8b80\u8005\u624d\u6703\u807d\u8aaa\u904e Black-Scholes \u65b9\u7a0b\uff0c\u5373\u300c\u6bba\u6b7b\u83ef\u723e\u8857\u7684\u516c\u5f0f formula that killed Wall Street\u300d\u3002 \u66f4\u5d07\u9ad8\u7684\u662f Lenohard Euler<\/a> \u7684\u4e00\u500b\u65b9\u7a0b\uff0c\u5b83\u88ab Mathematical Intelligencer<\/em><\/a> \u7684\u8b80\u8005\u8a55\u9078\u70ba\u300c\u6700\u7f8e\u9e97\u7684<\/a>\u300d\u65b9\u7a0b\u3002<\/p>\n\n\n\n

\u5c0d\u65b9\u7a0b\u5f0f\u7684\u95dc\u6ce8\u7576\u7136\u9069\u5408\u4e00\u672c\u526f\u6a19\u984c\u70ba\u300c\u900f\u904e\u65b9\u7a0b\u5f0f\u8b1b\u8ff0\u6578\u5b78\u6545\u4e8b\u300d\u7684\u66f8\u3002 \u7136\u800c\uff0c\u8b80\u8005\u53ef\u4ee5\u8df3\u904e\u65b9\u7a0b\u5f0f\uff0c\u4ecd\u7136\u53ef\u4ee5\u5b78\u5230\u5f88\u591a\u6771\u897f\uff0c\u751a\u81f3\u53ef\u80fd\u66f4\u559c\u6b61\u9019\u672c\u66f8\u3002 \u5728\u67d0\u4e9b\u60c5\u6cc1\u4e0b\uff0c\u9019\u4e9b\u65b9\u7a0b\u5f0f\u5c31\u50cf\u66f8\u6cd5\uff0c\u66f4\u591a\u7684\u662f\u6b23\u8cde\u800c\u4e0d\u662f\u7406\u89e3\u3002 \u672c\u66f8\u5145\u6eff\u4e86\u66f4\u591a\u6a19\u6e96\u7684\u85dd\u8853\u4f5c\u54c1\uff0cMackenzie \u5bcc\u6709\u60f3\u50cf\u529b\u5730\u7528\u5b83\u5011\u4f86\u8aaa\u660e\u6578\u5b78\u89c0\u9ede\u3002 \u4ed6\u5982\u4f55\u770b\u5f85 Galois \u7fa3<\/a>\u7684\u5c0d\u7a31\u6027\u8207\u5341\u4e94\u4e16\u7d00\u7684\u9676\u74e6\u4e4b\u9593\u7684\u95dc\u806f\uff1f \u9019\u88cf\u770b\u5230\u7684\u85dd\u8853\u3001\u5716\u8868\u548c\u5f69\u8272\u65c1\u6ce8\u662f\u6211\u5011\u4ecd\u7136\u64c1\u6709\u5370\u5237\u66f8\u7c4d\u7684\u539f\u56e0\u3002<\/p>\n\n\n\n

\u53ef\u4ee5\u8aaa\uff0cMackenzie \u6545\u4e8b\u7684\u4e3b\u89d2\u4e0d\u662f\u65b9\u7a0b\u5f0f\uff0c\u800c\u662f\u6578\u5b78\u7684\u767c\u73fe\u8005\u3002 Mackenzie \u7684\u6545\u4e8b\u662f\u4e00\u90e8\u6578\u5b78\u53f2\uff0c\u900f\u904e\u8457\u540d\u548c\u4e0d\u90a3\u9ebc\u8457\u540d\u7684\u5c0f\u63d2\u66f2\u4f86\u8b1b\u8ff0\u3002 \u9664\u4e86 Pythagoras \u548c Einstein \u4e4b\u5916\uff0c\u6211\u5011\u9084\u9047\u5230\u4e86 William Rowan Hamilton\uff0c\u4ed6\u5341\u6b72\u6642\u5c31\u638c\u63e1\u4e86\u6240\u6709\u6b50\u6d32\u8a9e\u8a00\uff08\u4ee5\u53ca\u5e0c\u4f2f\u4f86\u8a9e\u3001\u62c9\u4e01\u8a9e\u548c\u5e0c\u81d8\u8a9e\uff09\uff0c\u4e26\u628a William Wordsworth \u8996\u70ba\u670b\u53cb\u3002 \u7576\u6c92\u6709\u60f3\u5230\u7a7a\u9748\u7684\u65b9\u7a0b\u5f0f\u6642\uff0c\u00c9variste Gaios \u5728\u6cd5\u570b\u5927\u9769\u547d\u4e2d\u596e\u9b25\uff0c\u537b\u5728\u6c7a\u9b25\u4e2d\u6b7b\u53bb\uff0c\u6210\u70ba\u300c\u81ed\u540d\u662d\u8457\u7684\u8ce3\u5f04\u98a8\u60c5\u8005\u548c\u5979\u7684\u5169\u500b\u9a19\u5b50\u7684\u53d7\u5bb3\u8005\u300d\u3002 Kurt G\u00f6del \u985b\u8986\u4e86\u6578\u5b78\u57fa\u790e\uff08\u4e5f\u8a31\u4e00\u52a0\u4e00\u7b49\u65bc\u4e09\uff09\uff0c\u4e26\u5728\u76f8\u4fe1\u6709\u9b3c\u9b42\u4e26\u64d4\u5fc3 Einstein \u4e2d\u6bd2\u7684\u540c\u6642\u8207 Einstein \u6210\u70ba\u4e86\u670b\u53cb\u3002<\/p>\n\n\n\n

\u9019\u672c\u5f15\u4eba\u5165\u52dd\u7684 224 \u9801\u66f8\u8f15\u9b06\u6d3b\u6f51\u5730\u8b1b\u8ff0\u4e86 2500 \u5e74\u4f86\u7684\u6578\u5b78\u601d\u60f3\u3002 \u5b83\u5305\u62ec\u56db\u500b\u90e8\u5206\uff0c\u7e3d\u5171 24 \u500b\u76f8\u7576\u77ed\u7684\u7ae0\u7bc0\uff0c\u4ee5\u53ca\u5f15\u8a00\u548c\u7d50\u8ad6\u3001\u81f4\u8b1d\u3001\u53c3\u8003\u66f8\u76ee\u548c\u7d22\u5f15\u3002 \u9019\u672c\u8a2d\u8a08\u7cbe\u826f\u4e14\u6613\u65bc\u7406\u89e3\u7684\u66f8\u5c07\u70ba\u60a8\u751f\u6d3b\u4e2d\u7684\u5b78\u751f\u3001\u6578\u5b78\u5bb6\u6216\u6b77\u53f2\u5b78\u5bb6\u5e36\u4f86\u6a02\u8da3\u4e26\u70ba\u4ed6\u5011\u63d0\u4f9b\u4fe1\u606f\uff0c\u5b83\u9084\u53ef\u4ee5\u5e6b\u52a9\u60a8\u91cd\u65b0\u767c\u73fe\u5c0d\u6578\u5b78\u7684\u7981\u5fcc\u4e4b\u611b\u3002\u9019\u672c\u66f8\u7121\u6cd5\u7528\u96f6\u5b57\u6df1\u5165\u5b87\u5b99\u3002\u5373\u4f7f\u9019\u500b\u5b87\u5b99\u8d85\u8d8a\u4e86\u6211\u5011\u7684\u60f3\u50cf\uff0cMackenzie \u7684\u66f8\u8b80\u8d77\u4f86\u4e5f\u5f88\u6709\u8da3\uff0c\u8b93\u6211\u5011\u4e00\u7779\u6578\u5b78\u7684\u5947\u8e5f\u3001\u529b\u91cf\u751a\u81f3\u4e4b\u7f8e\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

The Universe in Zero Words: The Story of Mathematics as Told through Equations \u9019\u662f\u4e00\u672c\u95dc\u65bc\u6578\u5b78\u53f2\u7684\u66f8\u3002 \u5728\u9019\u672c\u66f8\u4e2d\uff0c\u6578\u5b78\u5bb6 Dana Mackenzie \u5feb\u901f\u700f\u89bd\u4e86\u5f9e\u53e4\u4ee3\u5230\u73fe\u4ee3\u7684\u6578\u5b78\u53f2\uff0c\u4e26\u9644\u6709\u95dc\u65bc 24 \u500b\u65b9\u7a0b\u5f0f\u7684\u7c21\u77ed\u7247\u6bb5\u3002\u9019\u662f\u4e00\u500b\u5f88\u597d\u7684\u6a19\u984c\uff0c\u4f46\u5118\u7ba1\u6bcf\u4e00\u7ae0\u90fd\u4ee5\u65b9\u7a0b\u5f0f\u958b\u982d\uff0c\u4f46\u9019\u5be6\u969b\u4e0a\u662f\u4e00\u4e9b\u6b77\u53f2\u6578\u5b78\u8efc\u4e8b\u7684\u85c9\u53e3\u3002 \u4e5f\u5c31\u662f\u8aaa\uff0c\u5b83\u5beb\u5f97\u975e\u5e38\u51fa\u8272\uff0c\u9019\u4f4d\u591a\u5e74\u4f86\u6559\u6388\u6578\u5b78\u6b77\u53f2\u7684\u8a55\u8ad6\u5bb6\u5f88\u559c\u6b61\u9019\u672c\u66f8\uff0c\u4e26\u4e86\u89e3\u4e86\u4e00\u4e9b\u4e0d\u719f\u6089\u7684\u7d30\u7bc0\u3002 \u4f5c\u8005\u64c1\u6709\u5411\u90a3\u4e9b\u4e0d\u61c2\u6578\u5b78\u7684\u4eba\u5c55\u793a\u6280\u8853\u6750\u6599\u7684\u51fa\u8272\u6280\u5de7\u3002 \u5c0d\u65bc\u6578\u5b78\u754c\u7684\u4eba\u4f86\u8aaa\uff0c\u770b\u5230\u9019\u4ef6\u4e8b\u505a\u5f97\u5f88\u597d\u7e3d\u662f\u4ee4\u4eba\u9ad8\u8208\u7684\u3002 \u9019\u672c\u66f8\u7684\u7248\u9762\u5f88\u6709\u8da3\uff1b \u5b83\u5206\u70ba\u56db\u500b\u90e8\u5206\uff0c\u6bcf\u500b\u90e8\u5206\u5305\u542b\u7368\u7acb\u7684\u7ae0\u7bc0\uff0c\u7e3d\u5171 24 \u7ae0\u3002 \u7b2c\u4e00\u90e8\u5206 (equations of antiquity)\u9069\u5408\u6240\u6709\u4eba\uff0c\u56e0\u70ba\u5b83\u4ee5\u53e4\u4ee3\u6578\u5b78\u6750\u6599\u3001\u6578\u5b57\u3001\u7562\u9054\u54e5\u62c9\u65af\u5b9a\u7406 Pythagoras\u2019s Theorem \u548c\u7c21\u55ae\u5e7e\u4f55\u70ba\u4e2d\u5fc3\u3002 \u7b2c\u4e8c\u90e8\u5206 (equations in the age of … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[11,17],"tags":[],"class_list":["post-9200","post","type-post","status-publish","format-standard","hentry","category--thinking","category--read"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pc7IvU-2oo","_links":{"self":[{"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/posts\/9200","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/comments?post=9200"}],"version-history":[{"count":1,"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/posts\/9200\/revisions"}],"predecessor-version":[{"id":9201,"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/posts\/9200\/revisions\/9201"}],"wp:attachment":[{"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/media?parent=9200"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/categories?post=9200"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/philosophers.org\/ckf\/wp-json\/wp\/v2\/tags?post=9200"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}